Fourier series - Your turn

For the function \(f(x) = 2x\), \(-2 < x < 2\), given the Fourier expansion

\[ f(x) = \sum_{n=1}^{\infty} \dfrac{8}{n\pi} (-1)^{n+1} \sin \left( \dfrac{n\pi x}{2} \right), \]

plot the actual function and first \(5\) partial sums over the domain \(-4 < x < 4\), all on the same set of axes.

# TODO: Write your solution below

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